EFFECT OF THE NUMBER OF ENERGY LEVELS OF A DEMON FOR THE SIMULATION OF THE FOUR-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON

Z. Merdan (), A. Gunen and G. Mulazimoglu
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Z. Merdan: Department of Physics, Faculty of Arts and Sciences, Gaziosmanpasa University, Tasliciftlik 60250 Tokat, Turkey
A. Gunen: Department of Physics, Faculty of Arts and Sciences, Gazi University, Teknikokullar 06500 Ankara, Turkey
G. Mulazimoglu: Department of Physics, Faculty of Arts and Sciences, Gazi University, Teknikokullar 06500 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 08, 1269-1278

Abstract: The four-dimensional Ising model is simulated on the Creutz cellular automaton by using three- and four-bit demons. The simulations result in overlapping curves for both the order parameter, the magnetic susceptibility, the internal energy and the Binder cumulant. However, the specific heat curves overlap above and atTcas the number of energy levels of a demon or the number of bits increases, but belowTcthey are strongly violated. The critical exponents for the order parameter and the magnetic susceptibility as the number of bits increases are obtained by analyzing the data according to the finite-size scaling relations available.

Keywords: Ising models; cellular automata; critical exponents; 05.45; 75.10H; 75.40C (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S012918310500787X

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